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Finding the Fourth Proportional to 13,289.52, 19,941 and 10,189.44

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Solution

The fourth proportional to 13,289.52, 19,941 and 10,189.44 is: 15,289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,289.52 : 19,941 = 10,189.44 : x
  2. Step 2: Convert to fraction form
    13,289.52/19,941 = 10,189.44/x
  3. Step 3: Cross multiply
    13,289.52x = 19,941 × 10,189.44
  4. Step 4: Simplify right side
    13,289.52x = 203,187,623.04
  5. Step 5: Solve for x
    x = 203,187,623.04/13,289.52
  6. Step 6: Final answer
    x = 15,289.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.